Understand that Taylor is a known product, but he's putting on a pretty good showcase for other teams right now and possibly pricing himself above what the Twins might be will to pay.
I am not about wishful thinking, but this is not a good situation going forward if all Buxton can do is DH. 6.5 more years of the DH being tied up by one player is not ideal.
IF Rodriguez stays at CF he's at least 2 years away, if not 3. No other MLB ready prospect plays CF except Celestino, which would make signing Taylor a good move, but I covered that already.
A trade or FA signing as a stop gap is not ideal, but that may be the course of action the team may have to take if Buxton can't play CF.